Search a number
-
+
420941106 = 232193121169
BaseRepresentation
bin11001000101110…
…000110100110010
31002100002000122100
4121011300310302
51330230103411
6105434121230
713300640355
oct3105606462
91070060570
10420941106
111a6679313
12b8b80216
13692941a1
143dc9629c
1526e4d456
hex19170d32

420941106 has 24 divisors (see below), whose sum is σ = 916772220. Its totient is φ = 139585536.

The previous prime is 420941089. The next prime is 420941113. The reversal of 420941106 is 601149024.

It can be written as a sum of positive squares in 2 ways, for example, as 411887025 + 9054081 = 20295^2 + 3009^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 420941106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57111 + ... + 64058.

Almost surely, 2420941106 is an apocalyptic number.

420941106 is an abundant number, since it is smaller than the sum of its proper divisors (495831114).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420941106 is a wasteful number, since it uses less digits than its factorization.

420941106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121370 (or 121367 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 420941106 is about 20516.8493195227. The cubic root of 420941106 is about 749.4461724674.

The spelling of 420941106 in words is "four hundred twenty million, nine hundred forty-one thousand, one hundred six".

Divisors: 1 2 3 6 9 18 193 386 579 1158 1737 3474 121169 242338 363507 727014 1090521 2181042 23385617 46771234 70156851 140313702 210470553 420941106